With one minute remaining in the first half, Alireza Koushki gave the host a lead in Tehran’s Azadi Stadium and Masoud Juma scored a header in the 57th minute to make it 2-0.
Esteghlal is the most successful team in Hazfi Cup history, having won the title seven times.
The final match is scheduled to take place at Arak’s Imam Khomeini Stadium on May 29.